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Finding the Fourth Proportional to 5,463.86, 8,194.06 and 1,765.22

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Solution

The fourth proportional to 5,463.86, 8,194.06 and 1,765.22 is: 2,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.86 : 8,194.06 = 1,765.22 : x
  2. Step 2: Convert to fraction form
    5,463.86/8,194.06 = 1,765.22/x
  3. Step 3: Cross multiply
    5,463.86x = 8,194.06 × 1,765.22
  4. Step 4: Simplify right side
    5,463.86x = 14,464,273.21
  5. Step 5: Solve for x
    x = 14,464,273.21/5,463.86
  6. Step 6: Final answer
    x = 2,647.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.